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Finding the Fourth Proportional to 6,436.96, 8,882.40 and 4,078.24

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Solution

The fourth proportional to 6,436.96, 8,882.40 and 4,078.24 is: 5,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.96 : 8,882.40 = 4,078.24 : x
  2. Step 2: Convert to fraction form
    6,436.96/8,882.40 = 4,078.24/x
  3. Step 3: Cross multiply
    6,436.96x = 8,882.40 × 4,078.24
  4. Step 4: Simplify right side
    6,436.96x = 36,224,558.98
  5. Step 5: Solve for x
    x = 36,224,558.98/6,436.96
  6. Step 6: Final answer
    x = 5,627.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.